A physical model of split-window and multi-angle algorithms for the retriev
al of sea surface temperature has been obtained. It is shown that optical t
hickness in the thermal infrared window region is approximately represented
by a separable function of wavelength and atmospheric variables which grea
tly simplify the radiative transfer model. In modelling the temperature ret
rieval algorithms we exploit the correlation that exists between the sea su
rface temperature and the average temperature of the atmosphere. It is show
n that, to the extent this correlation is maintained, there is a simple rel
ationship between surface temperature and the brightness temperatures measu
red in two split-window or multi-angle channels. The different atmospheric
conditions which cause spread in this relationship are briefly discussed. I
t is shown that measurements at three optical thicknesses instead of two as
in the case of the split-window method improve the SST retrieval accuracy
since it can take care of non-equilibrium conditions such as inversions, su
rface instabilities, etc., prevailing in the atmosphere.